What is 1988\times (8\div 24) ?

The solution to 1988\times (8\div 24) is 662 2/3

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Popular >

1988\times (8\div 24)

Solution

1988 \times (8 \div 24)

Solution

662 \frac{2}{3}

Solution steps

1988 \times (8 \div 24)

Follow the PEMDAS order of operations

Calculate within parentheses

(8 \div 24) : \frac{8}{24}

8 \div 24

8 \div 24 = \frac{8}{24}

= \frac{8}{24}

= 1988 \times \frac{8}{24}

Multiply and divide (left to right)

1988 \times \frac{8}{24} : \frac{1988}{3}

1988 \times \frac{8}{24}

Cancel the numbers:

\frac{8}{24} = \frac{1}{3}

= 1988 \cdot \frac{1}{3}

1988 \cdot \frac{1}{3} = \frac{1988}{3}

1988 \cdot \frac{1}{3}

Convert element to fraction:

1988 = \frac{1988}{1}

= \frac{1988}{1} \cdot \frac{1}{3}

Apply the fraction rule:

\frac{a}{b} \cdot \frac{c}{d} = \frac{a \cdot c}{b \cdot d}

= \frac{1988 \cdot 1}{1 \cdot 3}

Multiply the numbers:

1988 \cdot 1 = 1988

= \frac{1988}{1 \cdot 3}

Multiply the numbers:

1 \cdot 3 = 3

= \frac{1988}{3}

= \frac{1988}{3}

= \frac{1988}{3}

Convert improper fractions to mixed numbers:

\frac{1988}{3} = 662 \frac{2}{3}

\frac{1988}{3} = 662

Remainder

2

\frac{1988}{3}

Write the problem in long division format

3 \overline{∣ 1988}

Divide

19

3

to get

6

Divide

19

3

to get

6

6 3 \overline{∣ 1988}

Multiply the quotient digit

(6)

by the divisor

3

6 3 \overline{∣ 1988} \underline{18}

Subtract

18

from

19

6 3 \overline{∣ 1988} \underline{18} 1

Bring down the next number of the dividend

6 3 \overline{∣ 1988} \underline{18} 18

6 3 \overline{∣ 1988} \underline{18} 18

Divide

18

3

to get

6

Divide

18

3

to get

6

66 3 \overline{∣ 1988} \underline{18} 18

Multiply the quotient digit

(6)

by the divisor

3

66 3 \overline{∣ 1988} \underline{18} 18 \underline{18}

Subtract

18

from

18

66 3 \overline{∣ 1988} \underline{18} 18 \underline{18} 0

Bring down the next number of the dividend

66 3 \overline{∣ 1988} \underline{18} 18 \underline{18} 08

66 3 \overline{∣ 1988} \underline{18} 18 \underline{18} 08

Divide

8

3

to get

2

Divide

8

3

to get

2

662 3 \overline{∣ 1988} \underline{18} 18 \underline{18} 08

Multiply the quotient digit

(2)

by the divisor

3

662 3 \overline{∣ 1988} \underline{18} 18 \underline{18} 08 \underline{6}

Subtract

6

from

8

662 3 \overline{∣ 1988} \underline{18} 18 \underline{18} 08 \underline{6} 2

662 3 \overline{∣ 1988} \underline{18} 18 \underline{18} 08 \underline{6} 2

The solution for Long Division of

\frac{1988}{3}

662

with remainder of

2

662 Remainder 2

Convert to mixed number: Quotient

\frac{Remainder}{Divisor}

\frac{1988}{3} = 662 \frac{2}{3}

= 662 \frac{2}{3}

= 662 \frac{2}{3}

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Frequently Asked Questions (FAQ)

What is 1988\times (8\div 24) ?
The solution to 1988\times (8\div 24) is 662 2/3